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213809856 = 2631385661
BaseRepresentation
bin11001011111001…
…11101011000000
3112220022122222120
430233213223000
5414213403411
633114404240
75204232231
oct1457475300
9486278876
10213809856
11aa765567
125b730680
13353b1010
1420579088
1513b86106
hexcbe7ac0

213809856 has 56 divisors (see below), whose sum is σ = 609228144. Its totient is φ = 65786880.

The previous prime is 213809851. The next prime is 213809857. The reversal of 213809856 is 658908312.

It is not an unprimeable number, because it can be changed into a prime (213809851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40335 + ... + 45326.

It is an arithmetic number, because the mean of its divisors is an integer number (10879074).

Almost surely, 2213809856 is an apocalyptic number.

213809856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213809856 is an abundant number, since it is smaller than the sum of its proper divisors (395418288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213809856 is a wasteful number, since it uses less digits than its factorization.

213809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85689 (or 85679 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 213809856 is about 14622.2384059350. The cubic root of 213809856 is about 597.9651959774.

The spelling of 213809856 in words is "two hundred thirteen million, eight hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 85661 171322 256983 342644 513966 685288 1027932 1113593 1370576 2055864 2227186 2741152 3340779 4111728 4454372 5482304 6681558 8223456 8908744 13363116 16446912 17817488 26726232 35634976 53452464 71269952 106904928 213809856